Edge-antimagic graphs
نویسندگان
چکیده
منابع مشابه
Super ( , - Edge - Antimagic Graphs
A graph G of order p and size q is called (a,d)-edge-antimagic total if there exists a one-to-one and onto mapping f from ∪ , ,... , such that the edge weights , ∈ form an AP progression with first term ’a’ and common difference ’d’. The graph G is said to be Super (a,d)-edge-antimagic total labeling if the , , ... , . In this paper we obtain Super (a,d)-edge-antimagic properties of certain cla...
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An (a, d)-edge-antimagic total labeling of a graph G with p vertices and q edges is a bijection f from the set of all vertices and edges to the set of positive integers {1, 2, 3, . . . , p + q} such that all the edge-weights w(uv) = f(u) + f(v) + f(uv);uv ∈ E(G), form an arithmetic progression starting from a and having common difference d. An (a, d)-edgeantimagic total labeling is called a sup...
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In this note we prove with a slight modification of an argument of Cranston et al. [2] that k-regular graphs are antimagic for k ≥ 2.
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For a graph G a bijection from the vertex set and the edge set of G to the set {1, 2, . . . , |V (G)| + |E(G)|} is called a total labeling of G. The edge-weight of an edge is the sum of the label of the edge and the labels of the end vertices of that edge. The vertex-weight of a vertex is the sum of the label of the vertex and the labels of all the edges incident with that vertex. A total label...
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An antimagic labeling of a graph with m edges and n vertices is a bijection from the set of edges to the integers 1, . . . ,m such that all n vertex sums are pairwise distinct, where a vertex sum is the sum of labels of all edges incident with the same vertex. A graph is called antimagic if it has an antimagic labeling. A conjecture of Ringel (see [4]) states that every connected graph, but K2,...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2007
ISSN: 0012-365X
DOI: 10.1016/j.disc.2005.10.038